I’ve only ever seen it officially recommended to run one cycle per stage. If at the end of that cycle you feel you need more before proceeding, continue doing what you’re doing.
Old tech in certain titles were scripted to let you know when it was good to move to the next stage if I remember correctly, I don’t think that’s been removed.
It has popularized on the forum to run certain things more than one stage however, and the idea has merit. I can say that running Khan Black ST1 for multiple cycles was necessary for me and helped greatly with the corresponding stages, but that was a choice I made for myself.
I could have missed something from Saint or Fire though, I don’t read everything on here.